I posted the link to Apple's One (1) Year Limited Warranty - Worldwide page above but here it is again in case you missed it.
If the product is portable, meaning that it can operate independently without a power cord, you may obtain warranty service worldwide.
As for AppleCare+, global coverage is in the fine print per product agreement at Apple. This recent article at MacWorld also mentions it.
Is AppleCare+ only for U.S. customers?
No! Apple provides global coverage for most Apple devices (iPhone, iPad, Apple Watch, Mac, iPod, Apple TV, and Apple displays). Service options do vary between countries, but any AppleCare service is always performed by authorized techs with genuine Apple parts.